SOLUTION: Albert and Bob ran a race of 440 yards. In the first trial, Albert gave Bob a headstart of 65 yards and won by 20 seconds. In the second trial, Albert gave Bob a headstart of 34 se

Question 883280: Albert and Bob ran a race of 440 yards. In the first trial, Albert gave Bob a headstart of 65 yards and won by 20 seconds. In the second trial, Albert gave Bob a headstart of 34 seconds and Bob won by 8 yards. Find the speeds of Albert and Bob in yards per second.

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Albert and Bob ran a race of 440 yards.
:
Let a = A's speed
Let b = B's speed
:
In the first trial, Albert gave Bob a headstart of 65 yards and won by 20 seconds.
Write at time equation; time = dist/speed
B only ran 440 - 65 = 375 yds
:
b's time - a's time = 20 sec
- = 20
:
In the second trial, Albert gave Bob a headstart of 34 seconds and Bob won by 8 yards.
B ran 440 - 8 = 432 yrds
- = 34
:
We can use elimination here
- = 34
- = 20
--------------Subtraction eliminates a, find b
= 14
b =
b = 4.07 yds/sec is B's running speed
:
Find a
- = 34
106.14 - = 34
= 34 - 106.14
= 72.14
a =
a = 6.1 yds/sec is A's running speed
:
:
See if this works
- = 20
92 - 72 = 20

RELATED QUESTIONS
Albert and Bob ran a race of 440 yards. In the first trial albert gave bob a start of 65... (answered by ankor@dixie-net.com)

Last season two running backs (Bob and Albert) on the Elm Grove Eagles football team... (answered by ikleyn,josgarithmetic)

Albert and Bob jog around a circular track with length 400 meters. They start at the same (answered by ikleyn)

When Albert starts walking Kimberly is 60 yards him. They are moving on the same in the... (answered by josmiceli)

Alex is a faster runner than Bob. Alex runs 3 yards every second. Bob runs 2.5 yards... (answered by ankor@dixie-net.com)

A runner can run 100 yards in 9.8 seconds and 440 yards in 49 seconds. What is the ratio (answered by venugopalramana)

Hi Joe and Bob took part in a race. When Bob had completed the race in 30min, Joe ran... (answered by 1931,MathTherapy)

Yolanda and Yoko ran in a 100-yd dash. When Yolanda crossed the finish line, Yoko was 10 (answered by Theo)

Albert and Bob start at the same point to run clockwise around a circular track with 600... (answered by ikleyn)